In 1937 there appeared a paper that was to have a profound influence on the progress of combinatorial enumeration, both in its theoretical and applied aspects. Entitled Kombinatorische Anzahlbest immungen jUr Gruppen, Graphen und chemische Verbindungen, it was published in Acta Mathematica, Vol. 68, pp. 145 to 254. Its author, George Polya, was already a mathematician of considerable stature, well-known for outstanding work in many branches of mathematics, particularly analysis. The paper in Question was unusual in that it depended almost entirely on a single theorem -- the "Hauptsatz" of Section 4 -- a theorem which gave a method for solving a general type of enumera tion problem. On the face of it, this is not something that one would expect to run to over 100 pages. Yet the range of the applica tions of the theorem and of its ramifications was enormous, as Polya clearly showed. In the various sections of his paper he explored many applications to the enumeration of graphs, principally trees, and of chemical isomers, using his theorem to present a comprehen sive and unified treatment of problems which had previously been solved, if at all, only by ad hoc methods. In the final section he investigated the asymptotic properties of these enumerational results, bringing to bear his formidable insight as an analyst
A guide to avoiding investment mistakes reveals the most common errors investors make and provides a framework for rethinking investment and money management strategies.
CBS MoneyWatch columnist Larry Swedroe’s bedrock principles for investing success Investment Mistakes Even Smart Investors Make and How to Avoid Them helps anyone from the novice investor to the professional money manager become a more informed investor—and ignore the kind of pervasive “conventional wisdom” that so often leads to financial loss. Swedroe describes how behavioral mistakes and overconfidence can lead you to stray from proven investment principles, and he explains how to reverse these temptations and make the right investing decisions when it counts most. Larry Swedroe is Principal and Director of Research at Buckingham Asset Management. He writes the popular blog “Wise Investing” at CBS MoneyWatch.com.
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